---
res:
bibo_abstract:
- The growth function of populations is central in biomathematics. The main dogma
is the existence of density-dependence mechanisms, which can be modelled with
distinct functional forms that depend on the size of the Population. One important
class of regulatory functions is the theta-logistic, which generalizes the logistic
equation. Using this model as a motivation, this paper introduces a simple dynamical
reformulation that generalizes many growth functions. The reformulation consists
of two equations, one for population size, and one for the growth rate. Furthermore,
the model shows that although population is density-dependent, the dynamics of
the growth rate does not depend either on population size, nor on the carrying
capacity. Actually, the growth equation is uncoupled from the population size
equation, and the model has only two parameters, a Malthusian parameter rho and
a competition coefficient theta. Distinct sign combinations of these parameters
reproduce not only the family of theta-logistics, but also the van Bertalanffy,
Gompertz and Potential Growth equations, among other possibilities. It is also
shown that, except for two critical points, there is a general size-scaling relation
that includes those appearing in the most important allometric theories, including
the recently proposed Metabolic Theory of Ecology. With this model, several issues
of general interest are discussed such as the growth of animal population, extinctions,
cell growth and allometry, and the effect of environment over a population. (c)
2005 Elsevier Ltd. All rights reserved.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Harold
foaf_name: de Vladar, Harold
foaf_surname: de Vladar
foaf_workInfoHomepage: http://www.librecat.org/personId=2A181218-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-5985-7653
bibo_doi: '3802'
bibo_issue: '2'
bibo_volume: 238
dct_date: 2006^xs_gYear
dct_language: eng
dct_publisher: Elsevier@
dct_title: Density-dependence as a size-independent regulatory mechanism@
...